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Finding the Third Proportional to 25,257.29 and 59,510.32

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Solution

The third proportional to 25,257.29 and 59,510.32 is: 140,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.29 : 59,510.32 = 59,510.32 : x
  2. Step 2: Convert to fraction form
    25,257.29/59,510.32 = 59,510.32/x
  3. Step 3: Cross multiply
    25,257.29x = 59,510.32 × 59,510.32
  4. Step 4: Simplify right side
    25,257.29x = 3,541,478,223.70
  5. Step 5: Solve for x
    x = 3,541,478,223.70/25,257.29
  6. Step 6: Final answer
    x = 140,216.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.